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\frac{10x}{3}
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\frac{10x}{3}
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2x\left(\frac{2}{3}+\frac{3}{3}\right)
Convert 1 to fraction \frac{3}{3}.
2x\times \frac{2+3}{3}
Since \frac{2}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.
2x\times \frac{5}{3}
Add 2 and 3 to get 5.
\frac{2\times 5}{3}x
Express 2\times \frac{5}{3} as a single fraction.
\frac{10}{3}x
Multiply 2 and 5 to get 10.
2x\left(\frac{2}{3}+\frac{3}{3}\right)
Convert 1 to fraction \frac{3}{3}.
2x\times \frac{2+3}{3}
Since \frac{2}{3} and \frac{3}{3} have the same denominator, add them by adding their numerators.
2x\times \frac{5}{3}
Add 2 and 3 to get 5.
\frac{2\times 5}{3}x
Express 2\times \frac{5}{3} as a single fraction.
\frac{10}{3}x
Multiply 2 and 5 to get 10.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
Arithmetic
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}